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Statistics and Probability

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Moderate

Using the Graph and Properties of a Probability Density Function

STATS-J7FLES

Let $X$ be a continuous random variable with probability density function given by:

Note that the ends of the curve asymptote out to $-\infty$ and $\infty$ and that several areas under the curve have been labeled. Based on the information provided, how many of the following can be computed (for additional practice it is suggested that the student actually figure out those values which can be computed)?

i. Sample Space of $X$.

ii. The actual outcome of $X$.

iii. The probability that the outcome of $X$ is less than $0$.

iv. $f(15)$

v. $P(X>25)$

vi. $P(X=20)$

A

$1$

B

$2$

C

$3$

D

$4$

E

$5$

F

$6$